paper

The GJMS operators in geometry, analysis, and physics

arXiv:2509.16047

Abstract

The GJMS operators, introduced by Graham, Jenne, Mason, and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis, and physics. We describe the GJMS operators and their construction, and briefly survey their importance and impact.

This is the Author Accepted Manuscript of a commissioned survey for the Centenary Special Issue of the Journal of the London Mathematical Society. 20 pages

The GJMS operators in geometry, analysis, and physics · wovepaper